There are 20 C3 possible ways to choose 3 books to read.
There are 5 C3 possible ways to choose 3 mysteries to read.
The probability that Mariah will not choose all mysteries can be expressed as 1-5C3/20C3. (These 3 Choices Are True)
There are 1 C3 possible ways to choose 3 books that are not all mysteries.
The probability that Mariah will choose 3 mysteries can be expressed as 1/5C3.
(These 2 Choices Are False)
Hope This Helps
Answer:
The average is 5.41666667 degrees.
Step-by-step explanation:
We need to start from the innermost parenthesis and work our way out.
The first parenthesis is 
. These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).
So, we can take one step outwards, and we arrive to the square brackets. We have
and 2z and -13z are like terms, so we can sum them:
Finally we arrive to the whole expression, which is
Because, again, 5z and 11z were like terms.
Answer:
Yes, the company can expect a profit in the long term
Step-by-step explanation:
In this question, we are to project if a company is expected to make a profit or loss given the information in the question.
Let’s use the scenario of 50 gadgets produced.
1 is expected to be faulty, while 49 is thus expected to work perfectly.
Now, on this 49 sold, there is an expectancy of $3 profit. Hence, this means that for a batch of 50 gadgets produced, the amount of expected profit will be 49 * 3 = $147
The amount that would be used to repair the faulty unit is $80. If we subtract this from the total expected profit, we have $147-$80 = $67
Hence, per 50 gadgets sold, a total of $67 in profit is to be expected
This means profit is expected in the long tey
Answer:
The measure of the third angle is equal to 34°
Step-by-step explanation:
Given that,
The measure of angle 1 is 50°.
The measure of angle 2 is 96°
We need to find the measure of the third angle. We know that the sum of angles of a triangle is equal to 180°. So,
x+50+96=180
x+146=180
x = 180-146
x = 34°
So, the measure of the third angle is equal to 34°.
